The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  3  1  1
 0  1  1  a 7a+7 8a+4 3a+5 8a+5 8a a+5  0 a+5 8a 8a+5 8a+4  1  a 7a+7 3a+7  1 8a 3a+5 8a+5 a+5 2a+5 7a+7 3a+5  0 8a+4  3 6a+8  a 8a+3 4a+5 8a+7  1  3  0
 0  0 3a+6  0 3a+6  3 6a+6 6a+6  6 3a 3a+6 3a  3 3a  3  3 6a+6  6 3a+6 3a+6  3 6a+6 3a 3a+3 6a+3 6a+6  3  3 3a+6 3a+6 6a+3  0 3a  6 3a+6  6 6a+3  0
 0  0  0  3 3a+6 3a+6  3 3a  3 3a+3 6a 6a+6 6a 6a+3  0 6a+6 3a+3 3a+6  3  6 3a 6a+6 3a+6 6a+6 6a+6 6a+3 6a+3 3a 3a 3a+6 3a 3a+6  3  6  3 3a+6 6a  0

generates a code of length 38 over GR(81,9) who´s minimum homogenous weight is 270.

Homogenous weight enumerator: w(x)=1x^0+136x^270+432x^274+728x^279+72x^280+576x^281+4320x^282+2016x^283+1120x^288+1728x^289+6048x^290+25920x^291+6264x^292+1128x^297+13824x^298+32832x^299+110160x^300+14688x^301+976x^306+36864x^307+65520x^308+174528x^309+29088x^310+984x^315+904x^324+456x^333+128x^342

The gray image is a code over GF(9) with n=342, k=6 and d=270.
This code was found by Heurico 1.16 in 20.3 seconds.